Question 37538
<pre><font size = 3><b>When a fair 6 sided die is tossed on a table top, the bottom face cannot be
seen. What is the probability that the product of the 5 faces that can be seen
is divisible by 6?

It is absolute certain!  That is, the probability is 1.

Reason: Either 6 is on the bottom or it isn't

1.  If 6 is not on the bottom, then 6 can be seen, and so the product
will certainly be a multiple of 6, because 6 is included in the multiplying. 

2.  If 6 is on the bottom, then both 2 and 3 can be seen, and since 
their product is 6, the product of all faces that can be seen will certainly
be a multiple of 6, since 2 and 3 will both be included in the multiplying. 

Edwin
AnlytcPhil@aol.com</pre>